Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2011-08-16
Physics
Condensed Matter
Other Condensed Matter
19 pages, 13 figures, version as published apart from layout
Scientific paper
10.1016/j.chemphys.2011.06.010
To address the impact of electron correlations in the linear and non-linear response regimes of interacting many-electron systems exposed to time-dependent external fields, we study one-dimensional (1D) systems where the interacting problem is solved exactly by exploiting the mapping of the 1D $N$-electron problem onto an $N$-dimensional single electron problem. We analyze the performance of the recently derived 1D local density approximation as well as the exact-exchange orbital functional for those systems. We show that the interaction with an external resonant laser field shows Rabi oscillations which are detuned due to the lack of memory in adiabatic approximations. To investigate situations where static correlations play a role, we consider the time-evolution of the natural occupation numbers associated to the reduced one-body density matrix. Those studies shed light on the non-locality and time-dependence of the exchange and correlation functionals in time-dependent density and density-matrix functional theories.
Appel Heiko
Fuks Johanna I.
Gross Eberhard K. U.
Helbig N.
Rubio Angel
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